<html>
  <head>
    <meta http-equiv="Content-Type" content="text/html; charset=UTF-8">
    <title>hermit</title>
  </head>
  <body bgcolor="#FFFFFF">
    <center>Scilab Function</center>
    <div align="right">Last update : April 1993</div>
    <p>
      <b>hermit</b> -  Hermite form</p>
    <h3>
      <font color="blue">Calling Sequence</font>
    </h3>
    <dl>
      <dd>
        <tt>[Ar,U]=hermit(A)  </tt>
      </dd>
    </dl>
    <h3>
      <font color="blue">Parameters</font>
    </h3>
    <ul>
      <li>
        <tt>
          <b>A</b>
        </tt>: polynomial matrix</li>
      <li>
        <tt>
          <b>Ar</b>
        </tt>: triangular polynomial matrix</li>
      <li>
        <tt>
          <b>U</b>
        </tt>: unimodolar polynomial matrix</li>
    </ul>
    <h3>
      <font color="blue">Description</font>
    </h3>
    <p>
    Hermite form: <tt>
        <b>U</b>
      </tt> is an unimodular matrix such that <tt>
        <b>A*U</b>
      </tt> is
    in Hermite triangular form:</p>
    <p>
    The output variable is <tt>
        <b>Ar=A*U</b>
      </tt>.</p>
    <p>
    Warning: Experimental version</p>
    <h3>
      <font color="blue">Examples</font>
    </h3>
    <pre>

s=poly(0,'s');
p=[s, s*(s+1)^2, 2*s^2+s^3];
[Ar,U]=hermit(p'*p);
clean(p'*p*U), det(U)
 
  </pre>
    <h3>
      <font color="blue">See Also</font>
    </h3>
    <p>
      <a href="hrmt.htm">
        <tt>
          <b>hrmt</b>
        </tt>
      </a>,&nbsp;&nbsp;<a href="htrianr.htm">
        <tt>
          <b>htrianr</b>
        </tt>
      </a>,&nbsp;&nbsp;</p>
  </body>
</html>
